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  • Help me answer: If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct ?

If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct ?

  • Option 1)

    Time period of a simple pendulum on the Earth would decrease.

  • Option 2)

    Walking on the ground would become more difficult.

  • Option 3)

     Raindrops will fall faster.

  • Option 4)

     'g' on the Earth will not change.

 

Answers (1)

best_answer

As we have learned

Acceleration due to gravity (g) -

Force extended by earth on a body is gravity.

Formula:    g=frac{GM}{R^{2}},

g=frac{4}{3}pi ho , GR

g ightarrow gravity

ho ightarrow density of earth

R ightarrow Radius of earth

 

- wherein

It's average value is 9.8: m/s^{2}; ; or ; ; 981cm/sec^{2}; or; 32feet/s^{2} on the surface of earth

 

For earth    \frac{G'm_{e}M's}{r^{2}}= \frac{m_{e}}{r}

v^{2}= \frac{G'M's}{r}

g= \frac{G'M'e}{R^{2}}

G'= 10g , M's=10Ms

g'= 10g

rain drop will fall faster walking on the ground become more difficult 

Time period of  simple pendulum(2\pi \sqrt{l/g}) will decrease

 

 

 

 

 


Option 1)

Time period of a simple pendulum on the Earth would decrease.

This is incorrect

Option 2)

Walking on the ground would become more difficult.

This is incorrect

Option 3)

 Raindrops will fall faster.

This is incorrect

Option 4)

 'g' on the Earth will not change.

This is correct

Posted by

Aadil

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